vector spaces

(1.7 hours to learn)


Vector spaces are spaces which are closed under addition and scalar multiplication. Examples include vectors, matrices, polynomials, and functions. Many core concepts of linear algebra, such as linear independence, bases, and dimension, are defined for general vector spaces.


This concept has the prerequisites:

Core resources (read/watch one of the following)


A First Course in Linear Algebra (2012)
A linear algebra textbook with proofs.
Author: Robert A. Beezer


Supplemental resources (the following are optional, but you may find them useful)


MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
Author: Gilbert Strang


See also

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